Least Common Multiple (LCM) of 33 and 96
The least common multiple (LCM) of 33 and 96 is 1056.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 33 and 96?
First, calculate the GCD of 33 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 33 ÷ 96 = 0 remainder 33 |
| 2 | 96 ÷ 33 = 2 remainder 30 |
| 3 | 33 ÷ 30 = 1 remainder 3 |
| 4 | 30 ÷ 3 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 41 | 5453 |
| 42 and 88 | 1848 |
| 46 and 101 | 4646 |
| 103 and 109 | 11227 |
| 22 and 81 | 1782 |